Question

Mark runs a stall selling handmade cards and bookmarks.

Each handmade card costs $20.00.
Each bookmark costs $2.50.
Mark wants his total sales to reach a minimum of $90.00 through the sale of at least one handmade card and several bookmarks. What inequality represents the various quantities of bookmarks (x) Mark must sell?

(1 point)
Responses

x≥70x is greater than or equal to 70

x≥36x is greater than or equal to 36

x≥16x is greater than or equal to 16

x≥28

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's break down the problem:

The cost of each handmade card is $20.00 and Mark wants his total sales to reach a minimum of $90.00. Let's assume Mark sells x handmade cards.

The cost of each bookmark is $2.50 and Mark wants to sell several bookmarks. Let's assume Mark sells y bookmarks.

To find the inequality representing the various quantities of bookmarks (x) Mark must sell, we need to determine the minimum value of y.

The total revenue from selling handmade cards is 20x.
The total revenue from selling bookmarks is 2.50y.

We want the total revenue to be at least $90.00, so we can write the following inequality:

20x + 2.50y ≥ 90

To simplify the inequality, we can divide both sides by 2.50:

8x + y ≥ 36

This means that Mark must sell at least 36 bookmarks to reach a minimum sales of $90.00.

Therefore, the correct inequality representing the various quantities of bookmarks (x) Mark must sell is:

y ≥ 36